Slope Intercept Form from Tables

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, use the formula m = (y2 - y1) / (x2 - x1) using two points (x1, y1) and (x2, y2) from the table.

Front

If a table shows the points (1, 3) and (4, 9), what is the slope?

Back

The slope m = (9 - 3) / (4 - 1) = 6 / 3 = 2.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How can you determine the equation of a line from a table?

Back

Identify the slope using two points from the table, then use the slope and one point to find the y-intercept and write the equation in slope-intercept form.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

What is the y-intercept of the equation y = rac{1}{2}x - 1?

Back

The y-intercept is -1.

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.